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Finding the Fourth Proportional to 8,148.75, 12,223.13 and 1,992.75

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Solution

The fourth proportional to 8,148.75, 12,223.13 and 1,992.75 is: 2,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.75 : 12,223.13 = 1,992.75 : x
  2. Step 2: Convert to fraction form
    8,148.75/12,223.13 = 1,992.75/x
  3. Step 3: Cross multiply
    8,148.75x = 12,223.13 × 1,992.75
  4. Step 4: Simplify right side
    8,148.75x = 24,357,632.34
  5. Step 5: Solve for x
    x = 24,357,632.34/8,148.75
  6. Step 6: Final answer
    x = 2,989.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.